The all equity rate of return is calculated by assuming that the total cost of a property investment is financed totally by the investor without the use of any borrowed funds.
This is the same as the so called unleveraged rate of return, which in a discounted cash flow model is estimated using the cash flows before financing.
The all equity rate of return, or the unleveraged return, is different than the return on equity (leveraged return) if one or more mortgage loans are used to partially finance the acquisition of a property.